Implications of N = 5, 6 superconformal symmetry in three spacetime dimensions

© 2016, The Author(s).For general N = 5 and N = 6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. In each case, N = 5 and N = 6, the functional form of this correlator is uniquely fixed modulo an overall coefficient which is related, by superconformal Ward identities, to the parameter in the two-point function of the supercurrent. The structure of the correlation functions obtained is consistent with the property that every N = 5 superconformal field theory, considered as a special N = 4 theory, is invariant under the mirror map.